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Question

The vector c directed along the internal bisector of the angle between the vectors a=2^i^j2^k and b=2^i+2^j+^k with c=32 is

A
4^i^j^k
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B
4^i^j+^k
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C
4^i+^j^k
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D
4^i+^j+^k
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Solution

The correct option is D 4^i+^j^k
The vector along internal bisectors of angle between a and b is along aa+bb
2^i^j2^k2^i^j2^k+2^i+2^j+^k2^i+2^j+^k
=4^i+^j^k3 on simplification
2^i^j2^k=4+1+4=3
c=32(given)
c=4^i+^j^k

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